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10123200313 is a prime number
BaseRepresentation
bin10010110110110001…
…11100011100111001
3222010111120212011221
421123120330130321
5131213014402223
64352303152041
7505601532352
oct113330743471
928114525157
1010123200313
114325312256
121b662a5621
13c54394c75
146c0672d29
153e3ae6b5d
hex25b63c739

10123200313 has 2 divisors, whose sum is σ = 10123200314. Its totient is φ = 10123200312.

The previous prime is 10123200293. The next prime is 10123200349. The reversal of 10123200313 is 31300232101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9674099449 + 449100864 = 98357^2 + 21192^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123200313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123200413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061600156 + 5061600157.

It is an arithmetic number, because the mean of its divisors is an integer number (5061600157).

Almost surely, 210123200313 is an apocalyptic number.

It is an amenable number.

10123200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123200313 is an equidigital number, since it uses as much as digits as its factorization.

10123200313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10123200313 its reverse (31300232101), we get a palindrome (41423432414).

The spelling of 10123200313 in words is "ten billion, one hundred twenty-three million, two hundred thousand, three hundred thirteen".